Search a number
-
+
96831027580 = 22572413536827
BaseRepresentation
bin101101000101110010…
…1000011100101111100
3100020221022122212022211
41122023211003211330
53041302220340310
6112252240550204
76665364103600
oct1321345034574
9306838585284
1096831027580
113807a655231
1216924622364
139192115831
144988231500
1527bae19c8a
hex168b94397c

96831027580 has 144 divisors (see below), whose sum is σ = 243035777376. Its totient is φ = 32292986880.

The previous prime is 96831027547. The next prime is 96831027659. The reversal of 96831027580 is 8572013869.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14180127 + ... + 14186953.

It is an arithmetic number, because the mean of its divisors is an integer number (1687748454).

Almost surely, 296831027580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96831027580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121517888688).

96831027580 is an abundant number, since it is smaller than the sum of its proper divisors (146204749796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96831027580 is a wasteful number, since it uses less digits than its factorization.

96831027580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 96831027580 in words is "ninety-six billion, eight hundred thirty-one million, twenty-seven thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 353 410 490 574 706 820 980 1148 1412 1435 1765 2009 2471 2870 3530 4018 4942 5740 6827 7060 8036 9884 10045 12355 13654 14473 17297 20090 24710 27308 28946 34135 34594 40180 47789 49420 57892 68270 69188 72365 86485 95578 101311 136540 144730 172970 191156 202622 238945 279907 289460 334523 345940 405244 477890 506555 559814 669046 709177 955780 1013110 1119628 1338092 1399535 1418354 1672615 1959349 2026220 2409931 2799070 2836708 3345230 3545885 3918698 4819862 5598140 6690460 7091770 7837396 9639724 9796745 12049655 13715443 14183540 16869517 19593490 24099310 27430886 33739034 39186980 48198620 54861772 67478068 68577215 84347585 98807171 118086619 137154430 168695170 197614342 236173238 274308860 337390340 395228684 472346476 494035855 590433095 691650197 988071710 1180866190 1383300394 1976143420 2361732380 2766600788 3458250985 4841551379 6916501970 9683102758 13833003940 19366205516 24207756895 48415513790 96831027580